Generate, compare, and simplify equivalent fractions in numeric and contextual settings.
Check an equivalence claim
Problem
A student says, "\(9/12\) and \(3/4\) are not equivalent because the numbers are different." Classify the student's claim as correct or incorrect.
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What this problem is really about
Fraction equivalence depends on value, not whether the written numerals match. We’ll simplify nine twelfths by dividing both parts by their greatest common factor and compare the result with three fourths, then confirm with cross-products. If both tests agree, we can classify the student’s claim from evidence rather than appearance.
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